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131520384 = 2732114167
BaseRepresentation
bin1111101011011…
…01011110000000
3100011110221001100
413311231132000
5232132123014
621014534400
73154622232
oct765553600
9304427040
10131520384
1168270236
1238067400
132132b818
1413678252
15b82e009
hex7d6d780

131520384 has 48 divisors (see below), whose sum is σ = 378466920. Its totient is φ = 43839744.

The previous prime is 131520343. The next prime is 131520419. The reversal of 131520384 is 483025131.

It is a happy number.

131520384 is a `hidden beast` number, since 131 + 520 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1315203842 = 34595222815014912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55932 + ... + 58235.

Almost surely, 2131520384 is an apocalyptic number.

It is an amenable number.

131520384 is an abundant number, since it is smaller than the sum of its proper divisors (246946536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131520384 is a wasteful number, since it uses less digits than its factorization.

131520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114187 (or 114172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 131520384 is about 11468.2336913755. The cubic root of 131520384 is about 508.5469134094.

The spelling of 131520384 in words is "one hundred thirty-one million, five hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 114167 228334 342501 456668 685002 913336 1027503 1370004 1826672 2055006 2740008 3653344 4110012 5480016 7306688 8220024 10960032 14613376 16440048 21920064 32880096 43840128 65760192 131520384